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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">geophystech</journal-id><journal-title-group><journal-title xml:lang="ru">Геофизические технологии</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Journal of Geophysical Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2619-1563</issn><publisher><publisher-name>IPGG SB RAS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18303/2619-1563-2024-2-40</article-id><article-id custom-type="elpub" pub-id-type="custom">geophystech-356</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Частотно-зависимые лучи Ломакса для квазипродольных волн в трехмерных трансверсально-изотропных средах с наклонной осью симметрии</article-title><trans-title-group xml:lang="en"><trans-title>Frequency dependent qP-Lomax rays in three-dimensional weak TTI media</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0495-0156</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Неклюдов</surname><given-names>Д. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Neklyudov</surname><given-names>D. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>НЕКЛЮДОВ Дмитрий Александрович – кандидат физико-математических наук, старший научныйсотрудник лаборатории методов интерпретационной обработки сейсмических данных</p><p>630090, Новосибирск, просп. Акад. Коптюга, 3</p></bio><bio xml:lang="en"><p>Koptyug Ave., 3, Novosibirsk, 630090</p></bio><email xlink:type="simple">NeklyudovDA@ipgg.sbras.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0449-1639</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Протасов</surname><given-names>М. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Protasov</surname><given-names>M. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ПРОТАСОВ Максим Игоревич – доктор физико-математических наук, заведующий лабораториейметодов интерпретационной обработки сейсмических данных </p><p>630090, Новосибирск, просп. Акад. Коптюга, 3</p></bio><bio xml:lang="en"><p>Koptyug Ave., 3, Novosibirsk, 630090</p></bio><email xlink:type="simple">ProtasovMI@ipgg.sbras.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Институт нефтегазовой геологии и геофизики им. А.А. Трофимука СО РАН<country>Россия</country></aff><aff xml:lang="en">Trofimuk Institute of Petroleum Geology and Geophysics SB RAS<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>31</day><month>08</month><year>2024</year></pub-date><volume>0</volume><issue>2</issue><fpage>40</fpage><lpage>54</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Неклюдов Д.А., Протасов М.И., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Неклюдов Д.А., Протасов М.И.</copyright-holder><copyright-holder xml:lang="en">Neklyudov D.A., Protasov M.I.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.rjgt.ru/jour/article/view/356">https://www.rjgt.ru/jour/article/view/356</self-uri><abstract><p>Описывается простой и эффективный метод расчета частотно-зависимых лучей квазипродольных волн в трехмерных трансверсально-изотропных средах с наклонной осью симметрии. Предлагаемый подход аппроксимирует распространение локально плоского фрагмента волнового фронта, который оказывается чувствителен к распределению параметров модели в некотором объеме среды в окрестности луча. Зона чувствительности зависит от длины волны к каждой точке на луче. Для повышения эффективности численной реализации используются приближенные выражения для фазовых и групповых скоростей в предположении, что среда является слабоанизотропной. Представленные численные эксперименты подтверждает работоспособность предложенного метода.</p></abstract><trans-abstract xml:lang="en"><p>A simple and numerically effective approach for calculating frequency dependent qP-rays in threedimensional TTI media is presented in this paper. Our method involves propagating a locally plane fragment of wavefront which is sensitive to the distribution of the model parameters in some subvolume of the medium near a ray. The width of the sensitivity area depends on the wavelength in each point on the ray. For numerical realization we apply approximate expressions for phase and group velocities which are valid for weak TTI media. Numerical experiment proves the effectiveness of the proposed approach</p></trans-abstract><kwd-group xml:lang="ru"><kwd>лучевой метод</kwd><kwd>частотно-зависимые лучи</kwd><kwd>анизотропия</kwd><kwd>TTI</kwd></kwd-group><kwd-group xml:lang="en"><kwd>ray method</kwd><kwd>frequency dependent rays</kwd><kwd>anisotropy</kwd><kwd>TTI</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>М.И. Протасов разработал алгоритм построения квазипродольных частотно-зависимых лучей в рамках проекта ФНИ FWZZ-2022-0022. Д.А. Неклюдов реализовал алгоритм построения квазипродольных частотно-зависимых лучей и численно его исследовал на ряде реалистичных моделей на предмет его применимости для задач сейсмики при поддержке Российского научного фонда (грант № 21-71- 20002). Результаты работы были получены с использованием вычислительных ресурсов суперкомпьютерного центра Санкт-Петербургского политехнического университета Петра Великого (scc.spbstu.ru).</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>M.I. Protasov developed a frequency-dependent qP-ray tracing algorithm within the framework of the FWZZ-2022-0022 research project. D.A. 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